Syllabus of quant section is very broad. Candidates may
classify these broad topics in to sub topics and prepare for each topic one by
one.
·
Geometry, (Lines,
angles, Triangles, Spheres, Rectangles, Cube, Cone etc)
·
Ratios and Proportion,
Ratios,
·
Percentages, Inequations
·
Quadratic and linear
equations
·
Algebra
·
Mensuration,
·
Allegation & Mixtures, Work, Pipes and
Cisterns
·
Installment Payments,
Partnership,
·
Clocks
·
Probability,
Permutations & Combinations
·
Profit & Loss
·
Averages, Percentages,
Partnership
·
TimeSpeedDistance,
Work and time
·
Number
system: HCF, LCM,
·
Geometric Progression,
Arithmetic progression,
·
Arithmetic mean,
Geometric mean , Harmonic mean, Median, Mode,
·
Number Base System,
·
BODMAS, etc.
How to Prepare For Math Topics?
There should be very positive approach for preparation. Try to go
through the topic selectively. Clear your concept first then practice. Most
Ideal way to prepare is to cover each topics conceptually and go for practice
set. For example: You have completed the topics Trigonometry in two days, go
for practice set of trigonometry then move to another topic. Try to repeat this
for all the topics.
One should not go for multiple books for preparation in any of the
Competitive exam. Always try to use one or two books for every subject. One
should not prepare for competitive exam after keeping only single exam in
mind.
Practice with NCERT Books
A Quantitative Aptitude test evaluates you on
the numerical ability and accuracy level in the mathematical calculations. It
consists of several types of questions ranging from pure numeric calculations
to arithmetic reasoning. Also it includes graph and table reading, percentage
analysis, categorization, quantitative analysis etc.can be achieved by a lot of
practice
.
Most scoring topics for any exam should be Arithmetic, Algebra and Number System. The other areas such as Geometry, Mensuration and Higher Math’s .
Hence, you should start the basic preparation with the topics of Arithmetic and Algebra, which are the basic and most scoring parts. The approach to the above mentioned areas will vary from each other, when you are preparing for different exams.
The four areas of Quant viz., Arithmetic, Algebra,and Geometry & Modern Math require different skill sets.
• Arithmetic: how to 'apply' formulae;
• Algebra: reading and understanding the question;
• Geometry; ability to visualize;
• Modern Math: Your logical reasoning ability.
Most scoring topics for any exam should be Arithmetic, Algebra and Number System. The other areas such as Geometry, Mensuration and Higher Math’s .
Hence, you should start the basic preparation with the topics of Arithmetic and Algebra, which are the basic and most scoring parts. The approach to the above mentioned areas will vary from each other, when you are preparing for different exams.
The four areas of Quant viz., Arithmetic, Algebra,and Geometry & Modern Math require different skill sets.
• Arithmetic: how to 'apply' formulae;
• Algebra: reading and understanding the question;
• Geometry; ability to visualize;
• Modern Math: Your logical reasoning ability.
You understand a piece of mathematics if
you can do all of the following:
 Explain mathematical concepts and
facts in terms of simpler concepts and facts.
 Easily make logical connections
between different facts and concepts.
 Recognize the connection when you
encounter something new (inside or outside of mathematics) that's close to
the mathematics you understand.
 Identify the principles in the
given piece of mathematics that make everything work. (i.e., you can see
past the clutter.)
By contrast,
understanding mathematics does not mean to memorize methods, Formulas,
Definitions, or Theorems.
Clearly
there must be some starting point for explaining concepts in terms of simpler
concepts. For our purposes it suffices
to think of elementary school math as the starting point. It is sufficiently
rich and intuitive.
All of
this is neatly summarized in a letter that Issac newton wrote to Nathaniel
Hawes on 25 May 1694.
People
wrote differently in those days, obviously the " vulgar mechanick"
may be a man and "he that is able to reason nimbly and judiciously"
may be a woman, (and either or both may be children).
Mathematical
concepts build on simpler mathematical concepts. It's amazing how quickly one
can proceed from simple facts to very complicated ones
Solving
Mathematical Problems
The most
important thing to realize when solving difficult mathematical problems is that
one never solves such a problem on the first attempt. Rather one needs to build
a sequence of problems that lead up to the problem of interest, and solve each
of them. At each step experience is gained that's necessary or useful for the
solution of the next problem. Other only loosely related problems may have to
be solved, to generate experience and insight.
Students often neglect to check their answers. I
suspect a major reason is that traditional and widely used teaching methods
require the solution of many similar problems, each of which becomes a chore to
be gotten over with rather than an exciting learning opportunity. In my opinion,
each problem should be different and add a new insight and experience. However,
it is amazing just how easy it is to make mistakes. So it is imperative that
all answers be checked for plausibility. Just how to do that depends of course
on the problem.
The main
thing that keeps mathematics alive and interesting of course are unsolved problems. Many open
problems that are "important" in the contemporary view are hard just
to understand.
Acquiring
Mathematical Understanding
Since
this is directed to undergraduate students a more specific question is how does
one acquire mathematical understanding by taking classes? But that does not
mean that classes are the only way to learn something. What most people
are interested in and care about, is solving problems. In particular, when you are
no longer a student you will have acquired the skills necessary to learn
anything you like by reading and communicating with peers and experts. That's a
much more exciting way to learn than taking classes!
Here are
some suggestions regarding preparation
 Always strive for understanding as opposed to memorization.
 If this means you have to go
back, do it! Don't postpone clarifying a point you miss because everything
new will build on it.
 It may be intimidating to be
faced with a 1,000 page book and having to spend a day understanding a
single page. But that does not mean that you'll have to spend a thousand
days understanding the whole book. In understanding that one page you'll
gain experience that makes the next page easier, and that process feeds on
itself.
 Do exercises. The teacher may
suggest some, put you can pick them on your own from the textbook or make
up your own. Select them by the amount of interest they hold for you and
the degree of curiosity they stimulate in you. Avoid getting into a mode
where you do a large number of exercises that are distinguished only by
the numerical values assigned to some parameters.
 Always check your answers for
plausibility.
 Whenever you do a problem or
follow a new mathematical thread explicitly
formulate expectations. Your
expectations may be met, which causes a nice warm feeling (and you should
probably also look for a new and different problem). But otherwise there
are two possibilities: you made a mistake from which you can recover, now
that you are aware of it, or there is something genuinely new that you can
figure out and which will teach you something. If you don't formulate and
check expectations you may miss these opportunities.
 Find a class mate who will work
with you in a team. Have one of you explain the material to the other, on
a regular basis, or switch periodically. Explaining math to others is one
of the best ways of learning it.
 Be open and alert to the use of
new technology. But don't neglect thinking about the problem and
understanding it, its solution, and its ramifications. The purposes of
technology are not to relieve you of the need to think but:
 To check your answers.
 To take care of routine tasks
efficiently.
 To do things that can't possibly
be done by hand (like the visualization of large data sets).
Keep in mind a famous maxim: The
purpose of computing is insight, not numbers.
 Once you are done with a course Keep Your Textbook and refer back to it when you
need to. You have spent so much time with that book that you know it
intimately and know how to use it and where to find the information you
need.
.


Always read math problems
completely before beginning any calculations. If you "glance"
too quickly at a problem, you may misunderstand what really needs to be done
to complete the problem.


.


Whenever possible, draw a
diagram. Even though you may be able to visualize the situation
mentally, a hand drawn diagram will allow you to label the picture, to add
auxiliary lines, and to view the situation from different perspectives.


.



.


If you know that your answer to a
question is incorrect, and you cannot find your mistake, start over on a
clean piece of paper. Oftentimes when you try to correct a problem, you
continually overlook the mistake. Starting over on a clean piece of
paper will let you focus on the question, not on trying to find the
error.


.


Do not feel that you must use
every number in a problem when doing your calculations. Some mathematics
problems have "extra" information. These questions are
testing your ability to recognize the needed information, as well as your
mathematical skills.


.


Be sure that you are working in
the same units of measure when performing calculations. If a problem
involves inches, feet AND yards, be sure to make the appropriate conversions
so that all of your values are in the same unit of measure (for example,
change all values to feet).


.


Be sure that your answer
"makes sense" (or is logical). For example, if a question
asks you to find the number of feet in a drawing and your answer comes out to
be a negative number, know that this answer is incorrect. (Distance is
a positive concept  we cannot measure negative feet.)


.


Remember, that it may be necessary
to "solve" for additional information in a problem before being
able to arrive at the final answer. These questions are called
"twostep" problems and are testing your ability to recognize what
information is needed to arrive at an answer.


.


If time permits, go back and
resolve the more difficult problems on the test on a separate piece of
paper. If these "new" answers are the same as your previous
answers, chances are good that your solution is correct.


.


Remain confident! Do not get
flustered! Focus on what you DO know, not on what you do not
know. You know a LOT of math!!


.


When asked to "show
work" or "justify your answer", don't be lazy. Write
down EVERYTHING about the problem, Include diagrams, calculations, equations,
and explanations written in complete sentences. Now is the time to
"show off" what you really can do with this problem.


.


If you are "stuck" on a
particular problem, go on with the rest of the test. Oftentimes, while
solving a new problem, you will get an idea as to how to attack that
difficult problem.


.


If you simply cannot determine the
answer to a question, make a guess. Think about the problem and the
information you know to be true. Make a guess that will be logical
based upon the conditions of the problem.


.


In
certain problems, you may be able to "guess" at an approximate (or
reasonable) answer. After you perform your calculations, see if your
final answer is close to your guess.

Top 10 Preparation
Tips for Quantitative Aptitude Test
1. The very first step to prepare well for quantitative aptitude is to know well about the types of questions that are covered under this heading. This can be done by a little bit of research and by taking up the questions of this section.
2. Once you know about the types of questions, one by one take up these types and start preparing.
3. Since this whole section requires a lot of mathematical ability you should revise the basics of mathematics off and on.
4. When you start preparing for a question type take up as many questions as you can from good books and papers and try solving them.
5. Do not consider any type less important or insignificant because you never know which question type may be highlighted in this section.
6. Also, if you are unable to solve a few questions do make it a point to get it solved from a senior, teacher or a fellow student. Don't leave any question unsolved.
7. Quantitative aptitude forms a major section in many significant entrance exams so it shouldn't be taken lightly and must be practiced on a regular basis so that you are in touch with these types of questions.
8 . Once you get in a habit of attempting these questions start focusing on your accuracy. Though it is important to attempt all questions it is equally important to do them accurately.
9. Practice, practice and practice. The more you practice the higher accuracy level you achieve. Only practice can help in a good preparation.
10. After you've worked on achieving a high accuracy level, you need to learn the technique of time management because it is important to attempt the questions correctly in a given amount of time. You cannot just sit for hours solving one question. This again
Quant is an important section in any exam and often the deciding
factor, so prepare this section well. The pattern of the exam may be different
but the basic preparation will remain same.
For detailed information on particular exams, please go through our earlier blogs in the
months of july and august .
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